2(4x+2)=-5(3x-5)-3x

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Solution for 2(4x+2)=-5(3x-5)-3x equation:


Simplifying
2(4x + 2) = -5(3x + -5) + -3x

Reorder the terms:
2(2 + 4x) = -5(3x + -5) + -3x
(2 * 2 + 4x * 2) = -5(3x + -5) + -3x
(4 + 8x) = -5(3x + -5) + -3x

Reorder the terms:
4 + 8x = -5(-5 + 3x) + -3x
4 + 8x = (-5 * -5 + 3x * -5) + -3x
4 + 8x = (25 + -15x) + -3x

Combine like terms: -15x + -3x = -18x
4 + 8x = 25 + -18x

Solving
4 + 8x = 25 + -18x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '18x' to each side of the equation.
4 + 8x + 18x = 25 + -18x + 18x

Combine like terms: 8x + 18x = 26x
4 + 26x = 25 + -18x + 18x

Combine like terms: -18x + 18x = 0
4 + 26x = 25 + 0
4 + 26x = 25

Add '-4' to each side of the equation.
4 + -4 + 26x = 25 + -4

Combine like terms: 4 + -4 = 0
0 + 26x = 25 + -4
26x = 25 + -4

Combine like terms: 25 + -4 = 21
26x = 21

Divide each side by '26'.
x = 0.8076923077

Simplifying
x = 0.8076923077

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